574 CHAPTER 8 Applications of Trigonometric Functions In Problems 17–32, solve each triangle. 17. a b C 3, 4, 40 = = = ° 18. a c B 2, 1, 10 = = = ° 19. b c A 2, 4, 75 = = = ° 20. a b C 6, 4, 60 = = = ° 21. a c B 5, 3, 105 = = = ° 22. b c A 4, 1, 120 = = = ° 23. a b C 2, 3, 70 = = = ° 24. a c B 3, 2, 90 = = = ° 25. a b c 20, 29, 21 = = = 26. a b c 4, 5, 3 = = = 27. a b c 2, 2, 2 = = = 28. a b c 3, 3, 2 = = = 29. a b c 6, 11, 12 = = = 30. a b c 4, 3, 6 = = = 31. a b c 15, 13, 3 = = = 32. a b c 9, 7, 10 = = = Mixed Practice In Problems 33–44, solve each triangle. 33. B C b 20 , 75 , 5 = ° = ° = 34. A B c 50 , 55 , 9 = ° = ° = 35. a b c 6, 8, 9 = = = 36. a b A 14, 7, 85 = = = ° 37. B C a 35 , 65 , 15 = ° = ° = 38. a c B 4, 5, 55 = = = ° 39. c A B 8, 38 , 52 = = ° = ° 40. a A C 20, 73 , 17 = = ° = ° 41. A a b 10 , 3, 10 = ° = = 42. A B b 65 , 72 , 7 = ° = ° = 43. b c A 5, 12, 60 = = = ° 44. a b c 10, 10, 15 = = = Applications and Extensions 45. Distance to the Green A golfer hits an errant tee shot that lands in the rough. A marker in the center of the fairway is 150 yards from the center of the green. While standing on the marker and facing the green, the golfer turns 110° toward his ball. He then paces off 35 yards to his ball. See the figure. How far is the ball from the center of the green? 46. Navigation An airplane flies due north from Ft. Myers to Sarasota, a distance of 150 miles, and then turns through an angle of 50° and flies to Orlando, a distance of 100 miles. See the figure. (a) How far is it directly from Ft. Myers to Orlando? (b) What bearing should the pilot use to fly directly from Ft. Myers to Orlando? 508 100 mi 150 mi Orlando Sarasota Ft. Myers 47. Avoiding a Tropical Storm A cruise ship maintains an average speed of 15 knots in going from San Juan, Puerto Rico, to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan in a direction 20° off a direct heading to Barbados. The captain maintains the 15-knot speed for 10 hours, after which time the path to Barbados becomes clear of storms. (a) Through what angle should the captain turn to head directly to Barbados? (b) Once the turn is made, how long will it be before the ship reaches Barbados if the same 15-knot speed is maintained? Barbados San Juan 208 600 48. Revising a Flight Plan In attempting to fly from Chicago to Louisville, a distance of 330 miles, a pilot inadvertently took a course that was 10° in error, as indicated in the figure. (a) If the aircraft maintains an average speed of 220 miles per hour, and if the error in direction is discovered after 15 minutes, through what angle should the pilot turn to head toward Louisville? (b) What new average speed should the pilot maintain so that the total time of the trip is 90 minutes? 108 Error detected here 330 mi Louisville Chicago 150 yd 35 yd 1108 marker ball
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